Pith Number

pith:CH3BYSFH

pith:2009:CH3BYSFHLU7C53JYWQX4KPPAKV

not attested not anchored not stored refs pending

Dihedral blocks with two simple modules

Frauke M. Bleher

arxiv:0912.0987 v2 · 2009-12-05 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CH3BYSFHLU7C53JYWQX4KPPAKV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:40:56.078785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f61c48a75d3e2eed38b42fc53de0556d381a5023cceeb94676ce5f5453f539

Aliases

arxiv: 0912.0987 · arxiv_version: 0912.0987v2 · doi: 10.48550/arxiv.0912.0987 · pith_short_12: CH3BYSFHLU7C · pith_short_16: CH3BYSFHLU7C53JY · pith_short_8: CH3BYSFH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CH3BYSFHLU7C53JYWQX4KPPAKV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 11f61c48a75d3e2eed38b42fc53de0556d381a5023cceeb94676ce5f5453f539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa583e736597a31cf6a8a409728c05d39055f41f93ce09b4e85736159e14dde6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-12-05T06:14:33Z",
    "title_canon_sha256": "fc65fabd0429342fd88c43a36c6b8e36111362e4f9ba6a7dcddb9e35383ded32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0987",
    "kind": "arxiv",
    "version": 2
  }
}